2581560 has 96 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 672000.

The previous prime is 2581559. The next prime is 2581561. The reversal of 2581560 is 651852.

2581560 is a `hidden beast` number, since 25 + 81 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2581559) and next prime (2581561).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25510 + ... + 25610.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

2^2581560 is an apocalyptic number.

2581560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2581560 is an abundant number, since it is smaller than the sum of its proper divisors (6010920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2581560 is a wasteful number, since it uses less digits than its factorization.

2581560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2581560 is about 1606.7233738264. The cubic root of 2581560 is about 137.1810347581.

The spelling of 2581560 in words is "two million, five hundred eighty-one thousand, five hundred sixty".